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Finding the Fourth Proportional to 759.96, 1,040.40 and 740.52

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Solution

The fourth proportional to 759.96, 1,040.40 and 740.52 is: 1,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.96 : 1,040.40 = 740.52 : x
  2. Step 2: Convert to fraction form
    759.96/1,040.40 = 740.52/x
  3. Step 3: Cross multiply
    759.96x = 1,040.40 × 740.52
  4. Step 4: Simplify right side
    759.96x = 770,437.01
  5. Step 5: Solve for x
    x = 770,437.01/759.96
  6. Step 6: Final answer
    x = 1,013.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.